|Table of Contents|

 Stability Analysis of the Explicit Runge-Kutta
Local Discontinuous Galerkin Method
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《哈尔滨理工大学学报》[ISSN:1007-2683/CN:23-1404/N]

Issue:
2017年06期
Page:
109-112
Research Field:
材料科学与工程
Publishing date:

Info

Title:
 Stability Analysis of the Explicit Runge-Kutta
Local Discontinuous Galerkin Method
Author(s):
 BI Hui QIAN Chen-geng
 ( School of Applied Sciences,Harbin University of Science and Technology,Harbin 150080,China)
Keywords:
 Runge-Kutta finite element stability analysis partial differential equations L2-norm stability
PACS:
O29
DOI:
10. 15938 /j. jhust. 2017. 06. 020
Abstract:
 To analyze the stability of the local discontinuous Garlerkin method for heat equation,where the
time discretization is the explicit TVD Runge-Kutta method. For the sufficiently smooth solution case,when the
finite element space is the k-th order piecewise polynomial space on the regular meshes,we use the finite element
analysis technique to proof the L2-norm stability for hear equation under the CFL condition τ≤λμ - 2h2,where τ,h
are the time step and the length of the element respectively,and μ,λ are constants independent of h,τ.

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Last Update: 2018-03-10